1. Compute the following integrals. t3 (a) dt. V4+ t²

Q: Which of the following is a particular integral for the follo d'y 3d-4y te dt2

A: J

Q: Evaluate the integral. 1 dt t3 V2 -4

A:

Q: 2t – 1 dt 3 t+t3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2x Evaluate the improper integral J da, if it exists. (z² + 121)?

A: Use the substitution method of integration

Q: Evaluate the integral S (t³ In t ì + 3t³ sin (t*) j + x-2 *(x+1) k) dt.

A: We will use the fact that when we calculate the integral of a vector valued function we integrate…

Q: evaluate the integral. +t In(t“ + 1)j |dt te

A: Given that: ∫01t·e-t2i+tlnt2+1jdt

Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

A:

Q: If | h(t)dt = 24 %3D and 8 |h(t)dt = 10.6 what does the following integral equal? h(t)dt- %3D

A: We know, ∫abf(x) dx = ∫acf(x) dx + ∫cbf(x) dx         (if a<c<b)

Q: Evaluate the integrals: V2 1- dx (T/2 7cost sin t dt 2-

A: as per our guidelines, I am solving only the first question with both parts please resubmit other…

Q: calculate the integral of  integral of 0 to 4 for dt/64t^2+9

A:

Q: Evaluate the integral S (t³ In ti + 3t³ sin (t*) j+ x-2 X(x+1) k) dt.

A: In this question, we have to find the integral of the given vector function. Here we integrate the…

Q: Find the complete integral of the PDE z = px + qy – sin (pq)

A: Given partial differential equation z=px+qy−sinpq.....(1) We have to find the complete integral of…

Q: VE dt 42+T

A:

Q: t°et dt 8-11. Evaluate the following integrals: (a) / (d) / s2'd 4x 3xet dx x In(x) dx (Vz) dz x³e-…

A: solution: the objective is to find the integral

Q: Find the complete integral of the z'(p°z² +q°)=1

A:

Q: 3. Decide if the following improper integrals converge or diverge. dx (a) x2 + 4 (b) xe" dr da (c)…

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Q: 1 et dx 1 (1 — е*)2

A:

Q: Evaluate the double integrals: S[ (x + y + 1)dxdy

A:

Q: dx 1 = [- 1+vx+1

A: To evaluate: I=∫dx1+x+1

Q: Evaluate the integral, if it exists.

A: Given: ∫-π4π4t4 tant2+costdt

Q: 3. Compute the following integrals. 2/5 (a) V4 – 25x² dx.

A:

Q: Evaluate the following definite integral ,-(s-2)t sin(3t) dt. 3 2 (8 – 2)2 + 9 (8 – 3)2 + 4 - - O 1.…

A: Properties of Laplace transform  Lf(t)=∫0∞e-stf(t)dt Leatsinbt=b(s-a)2+b2 Lsinat=as2+a2

Q: Evaluate the integral S (t³ In ti+ 3t sin (t*) j+ ) dt. 1-2 x1)

A:

Q: Compute the following integrals (a) Sial dz. Iz%31 z2+z+2

A: Take fz=1z2+z+2 Equating the denominator to 0, we get z2+z+2=0⇒z--1+7i2z--1-7i2=0 Hence…

Q: 6. Compute the following improper integrals: a) tet sin t dt

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Q: 5. Compute the following double integrals: ye*y dA where R is the square -1 <x < 1, 0<y<2.

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Q: St³ In t dt

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Q: Compute the following integral below using integration by parts. So t³ In(t)dt. •1

A:

Q: the integral. 6. Vt In(t) dt J1

A: To evaluate:∫19tlntdt

Q: Evaluate the integrals in ∫7cos t sin t dt

A: Given Integral,I=∫7 cos t sin t dt

Q: Evaluate the integrals ∫dt/t√t

A: Consider the given integration as I=∫dttt or I=∫t-32dt As we know, ∫xndx=xn+1n+1

Q: 4) Determine whether the improper integral diverges a) fx'e *dx or converges: 1 b) J (7x +1)³ 1

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Q: Calculate the iterated integral. 2/s+t ds dt

A:

Q: 2. Compute the following integrals: sin(it) dt; t - T 1 -dz; 1 22 (1,1) -

A:

Q: 9. Compute each of the following double integrals over the indicated rectangles. (2r +3y) dA, R=0,1)…

A:

Q: 2. Evaluate the integral: SSS teu du ds dt

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Q: 2. Evaluate these indefinite integrals: dt (d) S; dt 2t2+5t+3

A: Given that a integration  and we solve it by using general property of integration. Here i attached…

Q: Compute the value of the following integral: ∞ (t) cos() 8 (t-1)dt ∞ 2 where 8(t) is the unit…

A: According to the definition ∫f(x)dx=F(x)+C, where dFdx=f(x). A delta function is defined as δ(t-a)=0…

Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: Compute the following improper integral. dx

A:

Q: b. L, , yz tan xdxdzdy

A:

Q: Evaluate the integrals ∫(t + 1)2 - 1/t4 dt

A: To evaluate the integral: ∫t+12-1t4dt Evaluating the given integral.…

Q: Compute the value of the following integral: 00 (t−7) cos (¹) 8 (t-1)dt 00 where 8(t) is the unit…

A:

Q: dy V4y + 1

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Q: Find the integral of t/(t^4+2) dt

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Q: 2. Evaluate the given integral without change of variable. t3 + 1 dt VE (t + 1)

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Q: Evaluate the integrals below. 4 x2+6 dx 1 Vx TE/7 a. b. sin(t) dt Tt/3 C. x2Vx3+2 dx с. Tt/4 d. 5(1+…

A:

Q: Calculate the following improper integrals or show they are divergent. (a) | cos(nt) dt (b) /. dx

A:

Q: († ++) S(1 + +)*dt

A: Given is ∫t-1t3dt We need to solve the integral. In order to solve the integral first Open the…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.